What is the Greatest Common Factor of 74571 and 74590?

Greatest common factor (GCF) of 74571 and 74590 is 1.

GCF(74571,74590) = 1

We will now calculate the prime factors of 74571 and 74590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74571 and 74590.

How to find the GCF of 74571 and 74590?

We will first find the prime factorization of 74571 and 74590. After we will calculate the factors of 74571 and 74590 and find the biggest common factor number .

Step-1: Prime Factorization of 74571

Prime factors of 74571 are 3, 7, 53, 67. Prime factorization of 74571 in exponential form is:

74571 = 3¹ × 7¹ × 53¹ × 67¹

Step-2: Prime Factorization of 74590

Prime factors of 74590 are 2, 5, 7459. Prime factorization of 74590 in exponential form is:

74590 = 2¹ × 5¹ × 7459¹

Step-3: Factors of 74571

List of positive integer factors of 74571 that divides 74571 without a remainder.

1, 3, 7, 21, 53, 67, 159, 201, 371, 469, 1113, 1407, 3551, 10653, 24857

Step-4: Factors of 74590

List of positive integer factors of 74590 that divides 74571 without a remainder.

1, 2, 5, 10, 7459, 14918, 37295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74571 and 74590. The biggest common factor number is the GCF number.
So the greatest common factor 74571 and 74590 is 1.

Also check out the Least Common Multiple of 74571 and 74590